Enter your answer as an integer or a decimal if there is a single answer box OR as a fraction if there are two separate answer boxes — one for the numerator and one for the denominator.

To enter an integer or a decimal, either type the number in the answer box using the keyboard or use the Transfer Display button on the calculator.

First, select on the answer box — a cursor will appear in the box — and then type the number.

For a negative sign, type a hyphen. For a decimal point, type a period.

The Transfer Display button on the calculator will transfer the calculator display to the answer box.

Equivalent forms of the correct answer, such as 2.5 and 2.50, are all correct.

Enter the exact answer unless the question asks you to round your answer.

To enter a fraction, type the numerator and the denominator in their respective answer boxes using the keyboard.

Select each answer box — a cursor will appear in the box — then type an integer. A decimal point cannot be used in either box.

For a negative sign, type a hyphen; to remove it, type the hyphen again.

The Transfer Display button on the calculator cannot be used for a fraction.

Fractions do not need to be reduced to lowest terms, though you may need to reduce your fraction to fit in the boxes.

One pen costs $0.25 and one marker costs $0.35. At those prices, what is the total cost of 18 pens and 100 markers?

$

Explanation

Multiplying $0.25 by 18 yields $4.50, which is the cost of the 18 pens; and multiplying $0.35 by 100 yields $35.00, which is the cost of the 100 markers. The total cost is therefore Equivalent decimals, such as $39.5 or $39.500, are considered correct. Thus the correct answer is $39.50 (or equivalent).

Note that the dollar symbol is in front of the answer box, so the symbol $ does not need to be entered in the box. In fact, only numbers, a decimal point and a negative sign can be entered in the answer box.

Rectangle R has length 30 and width 10, and square S has length 5. The perimeter of S is what fraction of the perimeter of R ?

Explanation

The perimeter of R is and the perimeter of S is Therefore, the perimeter of S is of the perimeter of R. To enter the answer you should enter the numerator 20 in the top box and the denominator 80 in the bottom box. Because the fraction does not need to be reduced to lowest terms, any fraction that is equivalent to is also considered correct, as long as it fits in the boxes. For example, both of the fractions and are considered correct. Thus the correct answer is (or any equivalent fraction).

Figure 7

Results of a Used-Car Auction

Small Cars

Large Cars

Number of cars offered

32

23

Number of cars sold

16

20

Projected sales total for cars offered (in thousands)

$70

$150

Actual sales total (in thousands)

$41

$120

For the large cars sold at an auction that is summarized in the table above, what was the average sale price per car?

$

Explanation

From Figure 7, you see that the number of large cars sold was 20 and the sales total for large cars was $120,000 (not $120). Thus the average sale price per car was The correct answer is $6,000 (or equivalent).

(In numbers that are 1,000 or greater, you do not need to enter commas in the answer box.)

A merchant made a profit of $5 on the sale of a sweater that cost the merchant $15. What is the profit expressed as a percent of the merchant's cost?

Give your answer to the nearest whole percent.

%

Explanation

The percent profit is percent, which is 33%, to the nearest whole percent. Thus the correct answer is 33% (or equivalent).

If you use the calculator and the Transfer Display button, the number that will be transferred to the answer box is 33.333333, which is incorrect since it is not given to the nearest whole percent. You will need to adjust the number in the answer box by deleting all of the digits to the right of the decimal point.

Also, since you are asked to give the answer as a percent, the decimal equivalent of 33 percent, which is 0.33, is incorrect. The percent symbol next to the answer box indicates that the form of the answer must be a percent. Entering 0.33 in the box would give the erroneous answer 0.33%.

Working alone at its constant rate, machine A produces k liters of a chemical in 10 minutes. Working alone at its constant rate, machine B produces k liters of the chemical in 15 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce k liters of the chemical?

minutes

Explanation

Machine A produces liters per minute, and machine B produces liters per minute. So when the machines work simultaneously, the rate at which the chemical is produced is the sum of these two rates, which is liters per minute. To compute the time required to produce k liters at this rate, divide the amount k by the rate to get Therefore, the correct answer is 6 minutes (or equivalent).

One way to check that the answer of 6 minutes is reasonable is to observe that if the slower rate of machine B were the same as machine A's faster rate of k liters in 10 minutes, then the two machines, working simultaneously, would take half the time, or 5 minutes, to produce the k liters. So the answer has to be greater than 5 minutes. Similarly, if the faster rate of machine A were the same as machine B's slower rate of k liters in 15 minutes, then the two machines, would take half the time, or 7.5 minutes, to produce the k liters. So the answer has to be less than 7.5 minutes. Thus the answer of 6 minutes is reasonable compared to the lower estimate of 5 minutes and the upper estimate of 7.5 minutes.